Direct computation of inelastic photon-neutrino processes in the Standard Model

Abstract

In this paper, we compute the Standard Model polarized amplitudes and cross sections of the processes $\gamma \nu \to \gamma \gamma \nu$, $\gamma \gamma \to \gamma \nu \bar{\nu }$ and $\nu \bar{\nu }\to \gamma \gamma \gamma$, for centre-of-mass energies $\omega$ within the range of validity of the Fermi theory. By using a large electron-mass expansion of the exact result, we also derive the first correction term to the effective, low-energy ($\omega <m_e$) formula for $\gamma \nu \to \gamma \gamma \nu$. Finally, we discuss possible astrophysical implications of our results and provide simple fits to the exact expressions.

19 pages, 3 Postscript figures, uses axodraw.sty

References in corpus (3)

• A simple method for multi-leg loop calculations 2: a general algorithm
• High energy photon-neutrino interactions
• Inelastic photon-neutrino interactions using an effective Lagrangian

Cited by in corpus (9)

• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part I
• Photon Neutrino Scattering in Non-Commutative Space
• Vacuum Polarisation Tensors in Constant Electromagnetic Fields: Part II
• The Glashow resonance in neutrino-photon scattering
• Neutrino-photon scattering and its crossed processes in a background magnetic field
• Parton content of the real photon: astrophysical implications
• Neutrino-photon reactions for energies above $m_e$
• Two-Neutrino Five-Photon Scattering at Low Energies
• Exclusive production of pseudoscalar mesons in neutrino-photon interactions